The Einstein Telescope (ET), which is the third generation of the ground-based detector, will be able to detect GW signals ten times more sensitive in amplitude than the advanced ground-based detectors, and it can cover a wide range of frequency \(1\sim 10^4\)  Hz up to redshift \(z\sim 2\)  for the NS-NS and \(z>2\)  for the BH-NS mergers systems. So, the measurements from ET will provide us with an opportunity to make constraint on the parameters of cosmology at relative higher redshifts.
Up to now, the simulated GW data have been used to measure the cosmological parameters [1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}, [9]}, determine the total mass of neutrino [10]}, investigate the anisotropy of the Universe [11]}, [12]}, constrain the evolving Newton's constant G [13]}, discuss the estimation of the Hubble parameter with the actual background expansion model of the universe [14]}, [15]}, and test the CDDR [16]}, [17]}, [18]}.
